114794064 has 480 divisors, whose sum is σ = 458006400. Its totient is φ = 27095040.

The previous prime is 114794059. The next prime is 114794089. The reversal of 114794064 is 460497411.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3958402 + ... + 3958430.

It is an arithmetic number, because the mean of its divisors is an integer number (954180).

Almost surely, 2^114794064 is an apocalyptic number.

114794064 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114794064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229003200).

114794064 is an abundant number, since it is smaller than the sum of its proper divisors (343212336).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

114794064 is a wasteful number, since it uses less digits than its factorization.

114794064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 114794064 is about 10714.1991767934. The cubic root of 114794064 is about 486.0039627782.

The spelling of 114794064 in words is "one hundred fourteen million, seven hundred ninety-four thousand, sixty-four".